find the lateral area of the cube. 9 in. 9 in. 9 in. square inches

find the lateral area of the cube. 9 in. 9 in. 9 in. square inches

find the lateral area of the cube. 9 in. 9 in. 9 in. square inches

Answer

Explanation:

Step1: Recall lateral area of cube formula

A cube has 4 lateral faces (excluding top and bottom). Each face is a square with side length ( s ). The area of one square face is ( s^2 ), so lateral area ( LA = 4s^2 ).

Step2: Identify side length

From the cube, side length ( s = 9 ) inches.

Step3: Calculate lateral area

Substitute ( s = 9 ) into the formula:
( LA = 4\times(9)^2 )
First, calculate ( 9^2 = 81 ). Then, ( 4\times81 = 324 ).

Answer:

324 square inches